225767820 has 96 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 56418304.

The previous prime is 225767819. The next prime is 225767849. The reversal of 225767820 is 28767522.

It is a super-2 number, since 2×225767820² = 101942217095104800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396496 + ... + 397064.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2^225767820 is an apocalyptic number.

225767820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225767820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

225767820 is an abundant number, since it is smaller than the sum of its proper divisors (446467380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225767820 is a wasteful number, since it uses less digits than its factorization.

225767820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 225767820 is about 15025.5722020827. The cubic root of 225767820 is about 608.9112712857.

The spelling of 225767820 in words is "two hundred twenty-five million, seven hundred sixty-seven thousand, eight hundred twenty".